I have the following transition matrix for a Markov chain.

[/size]

This represents the problem:

A child is standing in a square on the grid (namely x).

Once time per second, he jumps to another square that is adjacent to x.

The grid looks like this:[/size][size=14]Code:`* - * - * - *`

| 1 | 2 | 3 |

* - * - * - *

| 4 | 5 | 6 |

* - * - * - *

| 7 | 8 | 9 |

* - * - * - *

My question is, how do I find the steady state vector for the Markov chain?